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Finding the Fourth Proportional to 137,719.35, 206,452.26 and 53,535.51

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Solution

The fourth proportional to 137,719.35, 206,452.26 and 53,535.51 is: 80,253.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,719.35 : 206,452.26 = 53,535.51 : x
  2. Step 2: Convert to fraction form
    137,719.35/206,452.26 = 53,535.51/x
  3. Step 3: Cross multiply
    137,719.35x = 206,452.26 × 53,535.51
  4. Step 4: Simplify right side
    137,719.35x = 11,052,527,029.75
  5. Step 5: Solve for x
    x = 11,052,527,029.75/137,719.35
  6. Step 6: Final answer
    x = 80,253.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.